Exercise 17 Page 623

As we can see, △ FGH is a right triangle, ∠ FGH is a right angle, and GI is the altitude to the hypotenuse. Having verified the necessary conditions, we can write the similarity statement. △ FGH ~ △ GIH △ FGH ~ △ FIG △ GIH ~ △ FIG Finally, we can combine these three similarity statements into one. Note that there are many possible correct combinations for writing this statement — the triangle names could be written in any order and the names of the triangle could be written in any order. △ FGH ~ △ GIH ~ △ FIG